131609133720 has 160 divisors (see below), whose sum is σ = 442771718400. Its totient is φ = 35062543872.

The previous prime is 131609133701. The next prime is 131609133751. The reversal of 131609133720 is 27331906131.

131609133720 is a `hidden beast` number, since 1 + 3 + 1 + 609 + 13 + 37 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3503196 + ... + 3540564.

It is an arithmetic number, because the mean of its divisors is an integer number (2767323240).

Almost surely, 2^131609133720 is an apocalyptic number.

131609133720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131609133720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221385859200).

131609133720 is an abundant number, since it is smaller than the sum of its proper divisors (311162584680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131609133720 is a wasteful number, since it uses less digits than its factorization.

131609133720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38479 (or 38466 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 131609133720 in words is "one hundred thirty-one billion, six hundred nine million, one hundred thirty-three thousand, seven hundred twenty".